Chinese Physics C > 1981, Vol. 5 > Issue(1): 82-91

THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OFSU₃GROUP

ZENG GAO-JIAN

Hunan Teacher's College

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Abstract：
In this paper, the C-G series of SU ₃group is studied using Racah-Speier theorem. A general formula which can be used to calculate irreducible representations and their occupation number in C-G series of SU ₃group is derived. The general formula is very straight forward and effective for actual calculation One can apply the formula to analyse the distribution rule of occupation number in C-G series of SU ₃group and to define the null space of Winger operator of SU ₃group, the latter is important to the calculation of Wigner coefficients when there is a multiplicity.

References

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ZENG GAO-JIAN. THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU ₃GROUP[J]. Chinese Physics C, 1981, 5(1): 82-91.

ZENG GAO-JIAN. THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU ₃GROUP[J]. Chinese Physics C, 1981, 5(1): 82-91. shu

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Received: 1978-06-27
Revised: 1900-01-01

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